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Graph Theory: more books (100)

Elemental Methods in Ergodic Ramsey Theory by Randall McCutcheon, 2000-05-15
Chromatic Graph Theory (Discrete Mathematics and Its Applications) by Gary Chartrand, Ping Zhang, 2008-09-22
Random Graph Dynamics (Cambridge Series in Statistical and Probabilistic Mathematics) by Rick Durrett, 2010-05-31
A Friendly Introduction to Graph Theory by Fred Buckley, Marty Lewinter, 2002-11-14
The Logic System of Concept Graphs with Negation: And Its Relationship to Predicate Logic (Lecture Notes in Computer Science) by Frithjof Dau, 2004-01-22
Probability Theory and Combinatorial Optimization (CBMS-NSF Regional Conference Series in Applied Mathematics) by J. Michael Steele, 1987-01-01
Graph Theory. An Algorithmic Approach by Nicos Christofides, 1975-10
Handbook ofGraph Grammars and Computing by Graph Transformation (Handbook of Graph Grammars and Computing by Graph Transformation) (Vol 1)
Ramsey Theory on the Integers (Student Mathematical Library, Vol. 24) (Student Mathematical Library, V. 24) by Bruce M. Landman, Aaron Robertson, 2004-12-24
Topics in Topological Graph Theory (Encyclopedia of Mathematics and its Applications)
Random Matrix Theory: Invariant Ensembles and Universality (Courant Lecture Notes) by Percy Deift and Dimitri Gioev, 2009-06-15
Graphs & Digraphs, Fifth Edition by Gary Chartrand, Linda Lesniak, et all 2010-10-18
Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics) by Dieter Jungnickel, 2010-11-02
Random Geometric Graphs (Oxford Studies in Probability) by Mathew Penrose, 2003-07-03

lists with details

Graph Theory
ICS 2010 accepted paper list is here. List with abstracts is here. Following is a list with links to pdf files. Please leave a comment if I missed any pdf files.
http://graph-theory.blogspot.com/

Extractions: Graph Theory, Mathematics, Puzzles and Fun Stuff !! ICS 2010 accepted paper list is here . List with abstracts is here . Following is a list with links to pdf files. Please leave a comment if I missed any pdf files. If you haven't uploaded your accepted paper on your homepages/arXiv/ECCC please do so. As and when I find new files on the internet, I will update them here.
Http://www.g-scop.fr/~moncelj
Identifying codes in graphs, combinatorics, graph theory and computer science.
http://www.g-scop.fr/~moncelj/
05C: Graph Theory
Introduction Yes, a longer introduction to graph theory will eventually appear Classified in the MSC as a subfield of 05 Combinatorics, Graph Theory has emerged as a related
http://www.math.niu.edu/~rusin/known-math/index/05CXX.html

Extractions: POINTERS: Texts Software Web links Selected topics here [Yes, a longer introduction to graph theory will eventually appear...] Classified in the MSC as a subfield of 05: Combinatorics , Graph Theory has emerged as a related but largely independent discipline. A graph See e.g. Wilson, Robin J.: "200 years of graph theory-a guided tour" Theory and applications of graphs (Proc. Internat. Conf., Western Mich. Univ., Kalamazoo, Mich., 1976), pp. 19. Lecture Notes in Math., Vol. 642, Springer, Berlin, 1978. MR58 #15981. A longer version appeared in book form: Biggs, Norman L.; Lloyd, E. Keith; Wilson, Robin J.: "Graph theory: 17361936" Clarendon Press, Oxford, 1976. 239 pp. MR56#2771 Particularly regular graphs are related to Group Theory . This includes discussion of automorphism groups, Cayley diagrams for groups, and regular graphs. Many graph-theoretic problems can be solved by exhaustive enumeration; the questions then involve complexity. Further topics in this area are included in 68: Computer Science . (In particular this area of overlap includes topics such as the Traveling Salesman Problem, treated here.)
Ashay Dharwadker
Algebra, topology, graph theory and theoretical computer science.
http://www.dharwadker.org/profile.html

Extractions: Based on the proof of the four color theorem and the grand unification of the standard model with quantum gravity, we show how to derive the values of the famous Cabibbo angle and CKM matrix, in excellent agreement with experimental observations. We make a precise prediction for the elusive Higgs boson mass M H GeV , as a direct consequence of our theory.
Free Online Graph Theory Books :: FreeTechBooks.com
Graph Theory The study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection.
http://www.freetechbooks.com/graph-theory-f67.html
Graph Theory
By Reinhard Diestel. Sites offers author and book information as well as a downloadable PDF version of the book.
http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/
Graph Theory
this is a site introducing various terms and knowledge on graph theory.
http://www.graph-theory.net/

Extractions: Just another WordPress weblog Let k be a given positive integer to determine the required connectivity of a graph. Let G be a weighted graph. Determine a minimum-weight k-connected spanning subgraph of G. If k=1, this problem reduces to find a minimum spanning tree. Kruskal’s algorithm can be applied to find such a tree. However if k is greater than one, then the above problem becomes difficult and unsolvable. Only if G is a complete graph in which each edge is assigned unit weight, then the problem has a simple solution. It is an m-connected graph H(m,n) on n vertexes and the structure of H(m,n) depends on the parities of m and n; three cases can be considered Case 1: if m=even, let m=2r, then H(2r,n) is constructed as follows. It has vertexes 0, 1, …, n-1 and two vertexes i and j are joined if i-r <=j <=(i+r)mod(n).
Oxford University Press: Graph Theory 1736-1936: Norman L. Biggs
Two centuries of Graph Theory, by Norman L. Biggs, E. Keith Lloyd and Robin J. Wilson.
http://www.oup.com/us/catalog/general/subject/?view=usa&sf=toc&ci=0198539169
Graph Theory Glossary
adjacent Two vertices are adjacent if they are connected by an edge. arc A synonym for edge. See graph. articulation point See cut vertices.
http://www.utm.edu/departments/math/graph/glossary.html

Extractions: Graph Theory Glossary Chris Caldwell This glossary is written to supplement the Interactive Tutorials in Graph Theory . Here we define the terms that we introduce in our tutorialsyou may need to go to the library to find the definitions of more advanced terms. Please let me know of any corrections or suggestion! A B C D ... Z adjacent Two vertices are adjacent if they are connected by an edge. arc A synonym for edge. See graph articulation point See cut vertices bipartite A graph is bipartite if its vertices can be partitioned into two disjoint subsets U and V such that each edge connects a vertex from U to one from V. A bipartite graph is a complete bipartite graph if every vertex in U is connected to every vertex in V. If U has n elements and V has m , then we denote the resulting complete bipartite graph by K n,m . The illustration shows K . See also complete graph and cut vertices
Problems In Topological Graph Theory
Web text by Dan Archdeacon with a list of open questions in topological graph theory.
http://www.emba.uvm.edu/~archdeac/newlist/problems.html

Extractions: Burlington VT 05401-1455 USA Do you think you've got problems? I know I do. This paper contains an ongoing list of open questions in topological graph theory. If you are interested in adding a problem to this list please contact me at the addresses above. The spirit is inclusive-don't submit a problem you're saving for your graduate student. If it appears here, it's fair game. If you solve one of the problems, know some additional history, or recognize it as misphrased or just a stupid question, please let me know so that I can keep the list up-to-date. I've taken quite a bit of liberty editing the submissions. I apologize for any errors introduced. Enjoy my problems-I do! Classical questions on genus Coloring graphs and maps Drawings and crossings Paths, cycles, and matchings
Graph Theory
Graph Theory is a 2005 commission of the New Radio and Performing Arts, Inc., (aka Ether Ore) for its Turbulence web site. It was made possible with funding from the Greenwall
http://www.turbulence.org/Works/graphtheory/
Regular Graphs Page
Tables of simple connected k-regular graphs on n vertices and girth at least g.
http://www.mathe2.uni-bayreuth.de/markus/reggraphs.html

Extractions: The following tables contain numbers of simple connected k -regular graphs on n vertices and girth at least g with given parameters n,k,g . If a number in the table is a link, then you can get further information about the graphs including adjacency lists or shortcode files. A description of the shortcode coding can be found in the GENREG-manual Most of the numbers were obtained by the computer program GENREG. It does not only compute the number of regular graphs for the chosen parameters but even constructs the desired graphs. The large cases with k=3 were solved by Gunnar Brinkmann (University of Ghent), who implemented a very efficient algorithm for cubic graphs. If you want to compute regular graphs on your own or perhaps try one of the unsolved cases, you can get a free version of the generator. There are executables available for DEC-Alpha SGI Workstations and Linux Win NT PCs. The package genreg.tar contains a makefile for easy installation on any UNIX machine. There is a german and an english latex version of the manual included as well as a short C-programm that demonstrates how to read shortcode files. When using GENREG for your publications, please cite
Games On Graphs
Overview Graphs are mathematical objects that are made of dots connected by lines. Graph Theory is the branch of mathematics that involves the study of graphs.
http://www.c3.lanl.gov/mega-math/workbk/graph/graph.html

Extractions: Graphs are mathematical objects that are made of dots connected by lines. Graph Theory is the branch of mathematics that involves the study of graphs. Graphs are very powerful tools for creating mathematical models of a wide variety of situations. Graph theory has been instrumental for analyzing and solving problems in areas as diverse as computer network design, urban planning, and molecular biology. Graph theory has been used to find the best way to route and schedule airplanes and invent a secret code that no one can crack. The Big Picture
Sandpiles In Graphs
An application of cellular automata by Angela R. Kerns.
http://www.cs.wvu.edu/~angela/cs418a/cs418a.html
Graph Theory
Introduction of Graph Theory. EMAT 6690. YAMAGUCHI, Junichi . In the sprign semester 2005, I take the mathematics course named Graph Theory(MATH6690).
http://jwilson.coe.uga.edu/EMAT6680/Yamaguchi/emat6690/essay1/GT.html

Extractions: Introduction of Graph Theory EMAT 6690 YAMAGUCHI, Jun-ichi In the sprign semester 2005, I take the mathematics course named "Graph Theory(MATH6690)." This course is hard but very interesting and open my eyes to new mathematical world. I have loved study Graph theory and really want you to study this very young mathematics. This field of mathematics can be applied for many issues, rainging from operational research and chemistry to genetics and linguistics, and from electrical engineering and geography to sociology and architecture. What is Graph Theory? Graph theory concerns the relationship among lines and points. A graph consists of some points and some lines between them. No attention is paid to the position of points and the length of the lines. Thus, the two graphs below are the same graph. You can get more detailed information of graph theory at this site (http://www.netipedia.com/index.php/Graph_theory) Basic Terms of Graph Theory a SIMPLE graph G is one satisfying that; (1)having at most one edge (line) between any two vertices (points) and
Network Resources For Coloring A Graph
Resources for formulating and solving coloring problems.
http://mat.gsia.cmu.edu/COLOR/color.html

Extractions: by: Michael Trick (trick@cmu.edu) Last Update: October 26, 1994 Given an undirected graph, a clique of the graph is a set of mutually adjacent vertices. A maximum clique is, naturally, a clique whose number of vertices is at least as large as that for any other clique in the graph. If the vertices have weights then a maximum weighted clique is a clique with the largest possible sum of vertex weights. A (vertex) coloring of an undirected graph is an assignment of a label to each node. It is required that the labels on the pair of nodes incident to any edge be different. A minimum coloring of a graph is a coloring that uses as few different labels as possible. Clique and coloring problems are very closely related. It is straightforward to see that the size of the maximum clique is a lower bound on the minimum number of labels needed to color a graph. Many problems of practical interest can be modeled as clique and coloring problems. The general form of these applications involves forming a graph with nodes representing items of interest. An edge connects two ``incompatible'' items. The maximum clique problem is then to find as large a set of pairwise incompatible items as possible. The minimum coloring problem is to assign a color to each item so that every incompatible pair is assigned different colors. This document tries to bring together the various resources that are available on the Internet to help in formulating and solving coloring problems.
Graph Theory
ORNotes J E Beasley. OR-Notes are a series of introductory notes on topics that fall under the broad heading of the field of operations research (OR).
http://people.brunel.ac.uk/~mastjjb/jeb/or/graph.html

Extractions: OR-Notes are a series of introductory notes on topics that fall under the broad heading of the field of operations research (OR). They were originally used by me in an introductory OR course I give at Imperial College. They are now available for use by any students and teachers interested in OR subject to the following conditions A full list of the topics available in OR-Notes can be found here Graph theory deals with problems that have a graph (or network) structure. In this context a graph (or network as many people use the terms interchangeable) consists of: An example graph is shown below. Graph theory is used in dealing with problems which have a fairly natural graph/network structure, for example: Note here that the minimum cost network flow problem (also dealt with in this course) is an example of a problem with a graph/network structure.
Home Page Of Signed Graphs
List of publications and manuscripts annotated by Thomas Zaslavsky.
http://www.math.binghamton.edu/zaslav/Bsg/

Extractions: Download the preliminary 8th edition, vi + 249 pp., in PostScript (2 MB) or PDF (2 MB), or the Tex file A signed graph is a graph with signs labelling its edges. A gain graph has elements of any group as edge labels (called "gains"), with the understanding that reversing the sense in which you traverse the edge will invert the gain. A bidirected graph has both ends of each edge directed independently; it can be regarded as an oriented signed graph. This is a classified and copiously annotated list of all the publications (and suitable unpublished manuscripts, theses, etc.) of mathematical interest related to signed graphs, vertex-signed graphs, gain graphs, and bidirected graphs that I've been able to find and examine and enter into the list. It includes all or part of the literature of signed digraphs, Dowling lattices, combinatorics of root systems, parity of cycles and paths and max-cut problems (these concern all-negative signatures), generalized networks (networks with gains), qualitative matrix theory, quadratic pseudo-Boolean functions, dynamic labeled 2-structures, etc., etc., as well as selected publications on applications to social science (psychology, sociology, anthropology, economics) and natural science (physics, chemistry, biologysorry, no geology or astronomy-yet).
Multicommodity Problems
Instances and random generators of multicommodity flow and network design problems.
http://www.di.unipi.it/di/groups/optimize/Data/MMCF.html

Extractions: This page provides a collection of instances and random generators of Multicommodity Flow problems. The page comprises: All instances are packed with "tar" and compressed with "gzip"; these are ubiquitous on unix systems, and available for essentially every other architecture. Once a file f .tar.gz has been downloaded, it must be first decompressed (gzip -d f .tar.gz under unix) and then un-tarred (tar xvf f .tar under unix) to retrieve the original files and/or directories. Files of the type f .tgz are compressed by the tar command, and can be decompressed and un-tarred at the same time (tar xzvf f .tgz). A service C++ class for (MMCF)-solvers
Graph Theory
Graph Theory Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly
http://www.springer.com/mathematics/numbers/book/978-1-84628-969-9

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